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Finding the Third Proportional to 263,258 and 568,544

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Solution

The third proportional to 263,258 and 568,544 is: 1,227,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,258 : 568,544 = 568,544 : x
  2. Step 2: Convert to fraction form
    263,258/568,544 = 568,544/x
  3. Step 3: Cross multiply
    263,258x = 568,544 × 568,544
  4. Step 4: Simplify right side
    263,258x = 323,242,279,936
  5. Step 5: Solve for x
    x = 323,242,279,936/263,258
  6. Step 6: Final answer
    x = 1,227,853.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.